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Quizzes > High School Quizzes > Technology

Practice and Released Tests Quiz

Sharpen skills with practice tests and guidance

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Colorful paper art depicting a trivia quiz for high school math practice

What is 15 + 7?
21
22
23
24
Adding 15 and 7 results in 22. This basic arithmetic problem reinforces simple addition skills.
What is 20 - 8?
10
11
12
13
Subtracting 8 from 20 gives 12. This problem helps reinforce basic subtraction techniques.
Which of the following represents one”half as a decimal?
0.5
0.25
1.5
0.75
One”half is equivalent to 0.5 in decimal form. Understanding the conversion between fractions and decimals is fundamental in math.
What is 6 x 7?
42
36
48
56
Multiplying 6 by 7 gives 42. This problem checks a fundamental multiplication fact that is essential for further math studies.
Which shape has 3 sides?
Square
Triangle
Rectangle
Circle
A triangle is the only shape among the options that has three sides. Recognizing basic geometric shapes is key to understanding more complex geometry.
What is the least common multiple (LCM) of 4 and 6?
12
18
24
36
The LCM of 4 and 6 is 12 because it is the smallest number that both 4 and 6 divide into evenly. This concept is important when adding or comparing fractions.
What is the simplified form of the fraction 8/12?
2/3
3/4
4/6
8/12
Dividing both the numerator and the denominator of 8/12 by 4 simplifies the fraction to 2/3. Simplifying fractions is a core math skill.
If x + 3 = 10, what is the value of x?
7
8
6
9
Subtracting 3 from both sides of the equation x + 3 = 10 leads to x = 7. This simple linear equation reinforces basic algebraic manipulation.
What is 25% of 200?
50
25
75
100
Calculating 25% of 200 involves multiplying 200 by 0.25, which equals 50. This problem tests the application of percentage calculations.
Which of the following is a prime number?
15
21
29
35
29 is prime because its only divisors are 1 and itself. Recognizing prime numbers is essential for understanding factorization and divisibility.
What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?
26 cm
40 cm
56 cm
13 cm
The perimeter is calculated as 2 × (length + width), so 2 × (8 + 5) equals 26 cm. This reinforces the formula for determining the perimeter of a rectangle.
Convert 0.75 to a fraction in simplest form.
3/4
1/2
4/5
5/6
0.75 can be expressed as 75/100, which simplifies to 3/4 when both numerator and denominator are divided by 25. This conversion is a valuable skill in understanding different numeric representations.
Solve the equation 3(2x - 4) = 6.
x = 1
x = 2
x = 3
x = 4
Dividing both sides by 3 yields 2x - 4 = 2, and then adding 4 gives 2x = 6, so x equals 3. This problem assesses the ability to solve a simple linear equation.
A school bus can seat 48 students. If 3 buses are used, how many students can be seated in total?
144
150
138
156
Multiplying the seating capacity of one bus (48) by 3 gives a total of 144 seats. This question applies basic multiplication to a real-world scenario.
Which of the following numbers is even?
17
33
46
59
46 is even because it is divisible by 2. Recognizing even numbers is an essential elementary math skill.
A recipe requires 3/4 cup of oil for every 2 cups of flour. If you have 8 cups of flour, how much oil do you need?
1.5 cups
2 cups
3 cups
4 cups
There are 4 groups of 2 cups in 8 cups of flour. Multiplying 4 by 3/4 cup of oil gives 3 cups, demonstrating the application of ratio scaling.
A jar contains 4 red, 5 blue, and 6 green marbles. What is the probability of drawing a blue marble?
1/3
1/2
1/4
1/5
The total number of marbles is 15, and there are 5 blue marbles, so the probability is 5/15 which simplifies to 1/3. This problem reinforces key concepts in probability.
In a sequence where each term is the sum of the two preceding terms and the first two terms are 1 and 1, what is the 6th term?
8
5
13
21
The sequence is 1, 1, 2, 3, 5, 8, so the 6th term is 8. Recognizing patterns in sequences like the Fibonacci series is a valuable problem”solving skill.
Solve for y in the equation (2y/3) + 4 = 10.
3
6
9
12
Subtracting 4 from both sides gives 2y/3 = 6, and multiplying both sides by 3/2 results in y = 9. This question tests the ability to work with equations involving fractions.
A right triangle has legs measuring 3 cm and 4 cm. What is the length of its hypotenuse?
5 cm
6 cm
7 cm
8 cm
By applying the Pythagorean theorem, the hypotenuse is calculated as √(3² + 4²), which equals 5 cm. This problem emphasizes the application of geometric principles in solving for unknown side lengths.
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Study Outcomes

  1. Analyze authentic exam questions to identify key math concepts.
  2. Apply problem-solving strategies to tackle grade 6 math problems.
  3. Evaluate individual performance to identify areas for further study.
  4. Demonstrate an understanding of core arithmetic operations and their applications.
  5. Synthesize exam-style questions with learned techniques to improve test readiness.

Practice & Released Tests Cheat Sheet

  1. Master ratios and unit rates - Get savvy with ratios and unit rates to crack real-world puzzles, like figuring out which bulk snack deal gives you the most bang for your buck. Practice comparing quantities side by side, and watch your problem-solving skills soar! Math is Fun Grade 6 Resources
  2. Divide fractions by fractions - Remember that dividing by a fraction is like flipping it and multiplying - your secret weapon for fraction challenges. With a little practice, you'll breeze through problems like a math ninja slicing through cake slices. Math is Fun Grade 6 Resources
  3. Apply properties of operations - Use the commutative, associative, and distributive properties to rewrite tricky expressions and simplify them in a snap. For example, expand 3(2 + x) into 6 + 3x and watch that cluttered expression transform into something neat. The Core Standards: 6th Grade Expressions & Equations
  4. Solve equations and inequalities - Isolate the variable by performing the same operation on both sides - kind of like balancing on a seesaw - to find that mysterious x or determine which values make an inequality true. These skills help you tackle puzzles from simple daily budgets to epic game stats. The Core Standards: 6th Grade Expressions & Equations
  5. Calculate area and perimeter - Break down complex polygons into rectangles and triangles to measure area and add up sides for perimeter without breaking a sweat. This strategy turns geometry into a fun jigsaw puzzle - just fit the pieces together! The Core Standards: 6th Grade Geometry
  6. Graph points on the coordinate plane - Plotting points (x,y) is your ticket to solving distance and location riddles, like mapping treasure on a grid. Get comfortable moving right, left, up, and down - and watch patterns emerge like magic. Math is Fun Grade 6 Resources
  7. Explore statistical measures - Crunch the numbers to find the mean, median, mode, and range - your toolkit for turning raw data into clear insights. Whether you're ranking your favorite video games or analyzing test scores, these measures are key to making sense of it all. Math is Fun Grade 6 Resources
  8. Work with positive and negative numbers - Dive into the number line, practice adding and subtracting, and conquer the chill factor of negative values. From temperatures below zero to bank account balances, negative numbers have your back once you master their rules. Math is Fun Grade 6 Resources
  9. Use variables in expressions and equations - Treat variables like blank tiles in Scrabble - slot in different values to solve puzzles and see how expressions change. This hands-on play builds the foundation for all algebra adventures ahead. The Core Standards: 6th Grade Expressions & Equations
  10. Understand basic probability - Calculate the chance of flipping heads or rolling a six to make smarter predictions - perfect for game nights and science experiments alike. Probability turns uncertainty into an exciting guessing game you can actually master. Math is Fun Grade 6 Resources
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